Multi-Step Word Problems
Help Questions
ISEE Middle Level: Quantitative Reasoning › Multi-Step Word Problems
A recipe for 6 servings uses 1.50 cups rice and 3.00 cups broth; what are the adjusted ingredient amounts for 15 servings?
Use 2.50 cups rice and 5.00 cups broth
Use 4.50 cups rice and 9.00 cups broth
Use 1.50 cups rice and 3.00 cups broth
Use 3.75 cups rice and 7.50 cups broth
Explanation
This question tests ISEE Middle Level quantitative reasoning skills, specifically solving multi-step word problems using the four operations. Multi-step problems require students to apply the correct sequence of operations to reach a logical solution, often requiring addition, subtraction, multiplication, and division. In this problem, students must scale a recipe from 6 to 15 servings, executing calculations in the correct order. The correct answer is achieved by finding the scaling factor (15 ÷ 6 = 2.5), then multiplying each ingredient: rice (1.50 × 2.5 = 3.75 cups) and broth (3.00 × 2.5 = 7.50 cups). A common distractor might involve using an incorrect scaling factor or only scaling one ingredient. To help students: Teach them to always find the ratio of new servings to original servings first, then apply this factor consistently to all ingredients.
You have a $250.00 event budget; you pay $85.00 for a venue, $9.50 per person for 12 guests, and $30.00 for music. What is the final budget after all expenses?
The final budget is $21.00
The final budget is $5.00
The final budget is $135.00
The final budget is $151.00
Explanation
This question tests ISEE Middle Level quantitative reasoning skills, specifically solving multi-step word problems using the four operations. Multi-step problems require students to apply the correct sequence of operations to reach a logical solution, often requiring addition, subtraction, multiplication, and division. In this problem, students must interpret an event budget scenario with multiple expenses, executing calculations in the correct order. The correct answer is achieved by calculating total expenses: venue ($85.00) + catering ($9.50 × 12 = $114.00) + music ($30.00) = $229.00, then subtracting from the budget ($250.00 - $229.00 = $21.00). A common distractor might involve forgetting to multiply the per-person cost by the number of guests or adding instead of subtracting expenses. To help students: Teach them to list all expenses separately, perform any multiplication first, then sum all costs before subtracting from the total budget.
A road trip has legs of 120 miles, 85 miles, and 95 miles; at 25 miles per gallon, how much fuel is needed for the entire trip?
The fuel needed is 10.00 gallons
The fuel needed is 300.00 gallons
The fuel needed is 12.00 gallons
The fuel needed is 7.50 gallons
Explanation
This question tests ISEE Middle Level quantitative reasoning skills, specifically solving multi-step word problems using the four operations. Multi-step problems require students to apply the correct sequence of operations to reach a logical solution, often requiring addition, subtraction, multiplication, and division. In this problem, students must interpret a road trip scenario with multiple legs and fuel efficiency, executing calculations in the correct order. The correct answer is achieved by first finding the total distance (120 + 85 + 95 = 300 miles), then dividing by the fuel efficiency (300 ÷ 25 = 12 gallons). A common distractor might involve dividing individual legs by the fuel efficiency separately or confusing miles with gallons. To help students: Teach them to identify what the question asks for (total fuel), combine all distances first, then apply the fuel efficiency calculation as a final step.